igraph (version 0.7.1)

biconnected.components: Biconnected components

Description

Finding the biconnected components of a graph

Usage

biconnected.components(graph)

Arguments

graph

The input graph. It is treated as an undirected graph, even if it is directed.

Value

• A named list with three components:
• no
  Numeric scalar, an integer giving the number of biconnected components in the graph.
• tree_edges
  The components themselves, a list of numeric vectors. Each vector is a set of edge ids giving the edges in a biconnected component. These edges define a spanning tree of the component.
• component_edges
  A list of numeric vectors. It gives all edges in the components.
• components
  A list of numeric vectors, the vertices of the components.
• articulation_points
  The articulation points of the graph. See articulation.points.

concept

Biconnected component

Details

A graph is biconnected if the removal of any single vertex (and its adjacent edges) does not disconnect it.

A biconnected component of a graph is a maximal biconnected subgraph of it. The biconnected components of a graph can be given by the partition of its edges: every edge is a member of exactly one biconnected component. Note that this is not true for vertices: the same vertex can be part of many biconnected components.

See Also

articulation.points, clusters, is.connected, vertex.connectivity

Examples

g <- graph.disjoint.union( graph.full(5), graph.full(5) )
clu <- clusters(g)$membership
g <- add.edges(g, c(which(clu==1), which(clu==2)))
bc <- biconnected.components(g)

Run the code above in your browser using DataCamp Workspace